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ycow [4]
3 years ago
9

Given a sphere with a radius of 7.5 ft.

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

volume of the sphere is  V=1766.25 ft^{3}

Step-by-step explanation:

step:1

<u>The volume of the sphere formula is V=\frac{4 pi r^{3}  }{n}</u>

<u>step:2</u>

Given radius of the sphere r=7.5 ft

substitute given radius r=7.5 ft value in volume of the sphere formula

V=[tex]\frac{4 pi r^{3}  }{n}\\

V=\frac{4(3.14)(7.5)^{3} }{3}[/tex]

V=1766.25 ft^{3}

Final answer is V=1766.25 ft^{3}

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Identify the conic whose equation is given.
irina1246 [14]

Answer:

Hyperbola  

Step-by-step explanation:

The polar equation of a conic section with directrix ± d  has the standard form:

r=ed/(1 ± ecosθ)

where e = the eccentricity.

The eccentricity determines the type of conic section:

e = 0       ⇒ circle

0 < e < 1  ⇒ ellipse

e = 1        ⇒ parabola

e > 1        ⇒ hyperbola

Step 1. <em>Convert the equation to standard form </em>

r = 4/(2 – 4 cosθ)

Divide numerator and denominator by 2

r = 2/(1 - 2cosθ)

Step 2. <em>Identify the conic </em>

e = 2, so the conic is a hyperbola.

The polar plot of the function (below) confirms that the conic is a hyperbola.

5 0
3 years ago
Select the correct answer.
Serhud [2]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Can someone make sure the first 3 questions are correct and help me on the 4th one?
Ratling [72]
Sorry, I'm no help because I have no idea how to do those!
4 0
3 years ago
a car travels 54.9 miles in an hour. if the car continues at the same speed for 12hours,how many miles will it travel
Ilia_Sergeevich [38]
Here's what you have to do: multiply. 54.9×12= 658.8. So, he traveled 658.8 miles in twelve hours.
7 0
3 years ago
the graph of F(x), shown below, has the same shape as the graph of G(x)=x^4. but it is shifted 3 units to the right. which is it
Naddik [55]

Answer:

<h2>C. F(x) = (x - 3)⁴</h2>

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

f(x + n) - shift the graph of f(x) n units to the left

===================================

The graph og G(x) = x⁴ shifted 3 units to the right.

Therefore F(x) = G(x - 3) = (x - 3)⁴

3 0
3 years ago
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